Streszczenie:Discovered five decades ago radio pulsars - rapidly rotating highly magnetized neutron stars - are still one of the mysteries of modern astrophysics. We are sure that pulsar emission is generated in the magnetosphere, but we still do not know exactly how nor where. However, over the recent decade we have made significant progress toward creating a self-consistent model of pulsar magnetosphere, which is the necessary step in the quest for understanding pulsar emission mechanism(s).In this talk I will give an overview of this decades old problem and describe recent advances in modeling of pulsar magnetospheres.